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On the Bott-Cattaneo's Chern-Simons perturbation theory
SPEAKER  |  Tatsuro Shimizu
INSTITUTE  |  
DATE  |  May 11(Thu), 2017
TIME  |  15:50
PLACE  |  8101
Keyword  |  
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ABSTRACT  |  Chern-Simons perturbation theory was established by Kontsevich, Axelrod and Singer. There are some invariants inspired by Chern-Simons perturbation theory. In this talk, I revisit Bott-Cattaneo's Chern--Simons perturbation theory. Their theory gives an invariant of a 3-manifold with a flat connection of the trivial $G$-bundle over the 3-manifold, where $G$ is a semi-simple Lie group. I give a modified construction of Bott-Cattaneo's Chern-Simons perturbation theory, and show a few examples of this invariant.
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